GCF and LCM Calculator Logo

What is the Least Common Multiple of 29665 and 29680?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 29665 and 29680 is 176091440.

LCM(29665,29680) = 176091440

LCM Calculator and
and

Least Common Multiple of 29665 and 29680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29665 and 29680, than apply into the LCM equation.

GCF(29665,29680) = 5
LCM(29665,29680) = ( 29665 × 29680) / 5
LCM(29665,29680) = 880457200 / 5
LCM(29665,29680) = 176091440

Least Common Multiple (LCM) of 29665 and 29680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29665 and 29680. First we will calculate the prime factors of 29665 and 29680.

Prime Factorization of 29665

Prime factors of 29665 are 5, 17, 349. Prime factorization of 29665 in exponential form is:

29665 = 51 × 171 × 3491

Prime Factorization of 29680

Prime factors of 29680 are 2, 5, 7, 53. Prime factorization of 29680 in exponential form is:

29680 = 24 × 51 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 29665 and 29680.

LCM(29665,29680) = 51 × 171 × 3491 × 24 × 71 × 531
LCM(29665,29680) = 176091440